1) Vimium key bindings don't work on the new tab page, and don't work until a web page finishes loading. The Qutebrowser key bindings are more first class and built in to the browser, so you can fully trust them to work all the time.
2) Qutebrowser is much better with webpages that also implement their own key bindings. There is pass-through mode which disables all Qutebrowser key bindings (except escape to leave pass-through mode) and lets the web page interpret all keystrokes.
Unfortunately I still keep the other browser around because of compatability, but I have much more hope that Qutebrowser will eventually render pages better rather than Chrome/Vimium ever getting a better interface.